premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs sequencelengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either patient or not patient then someone is not calm or brave and vice versa. Everyone who is either calm or not wise is not kind or not old and vice versa. Everyone who is both creative and calm is not patient or patient. Everyone who is both not funny and not calm is both not funny and not curious and... | Paul is generous. | neutral | ((?[X]:((patient(X)<~>~patient(X))))<=>(?[X]:((~calm(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|humble(X))<=>~creative(X)))&
(![X]:((~happy(X)&~old(X))<=>(calm... | generous(paul) | [] | null | 0 |
Everyone who is rich or strong is not tall or not creative.
Everyone who is strong is generous or not creative and vice versa.
Everyone who is either not strong or patient is both humble and brave and vice versa.
If susan is not kind or patient then someone is both not old and funny and vice versa.
Everyone who is both... | Alice is not rich. | entailment | (![X]:((rich(X)|strong(X))=>(~tall(X)|~creative(X))))&
(![X]:(strong(X)<=>(generous(X)|~creative(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)&brave(X))))&
(((~kind(susan)|patient(susan)))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((humble(X)&creative(X))=>(~quiet(X)<~>~old(X))))&
(![X]:((~patient(X)|~creative(X))=>... | ~rich(alice) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8968027115681088907435595
% SZS output start Proof for 8968027115681088907435595
1. ! [X0] : ((strong(X0) | rich(X0)) => (~creative(X0) | ~tall(X0))) [input p0]
2. ! [X0] : (strong(X0) <=> (~creative(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~strong(X0) <~> patient(X0)) <=> (brave(X0)... | 0 |
Everyone who is both brave and happy is curious. If someone is both not calm and curious then paul is either funny or not calm. Everyone who is happy is not happy or not funny and vice versa. If lucy is either curious or not funny then paul is either not wise or not patient. Everyone who is not generous is quiet. Every... | Fred is not happy. | contradiction | (![X]:((brave(X)&happy(X))=>curious(X)))&
((?[X]:((~calm(X)&curious(X))))=>((funny(paul)<~>~calm(paul))))&
(![X]:(happy(X)<=>(~happy(X)|~funny(X))))&
(((curious(lucy)<~>~funny(lucy)))=>((~wise(paul)<~>~patient(paul))))&
(![X]:(~generous(X)=>quiet(X)))&
(![X]:((patient(X)|wise(X))=>(curious(X)&rich(X))))&
((quiet(lucy))... | ~happy(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7628622512087120425238638
% SZS output start Proof for 7628622512087120425238638
3. ! [X0] : (happy(X0) <=> (~funny(X0) | ~happy(X0))) [input p2]
23. ~happy(fred) [input hypothesis]
40. ! [X0] : ((happy(X0) | (funny(X0) & happy(X0))) & ((~funny(X0) | ~happy(X0)) | ~happy(X0))) [nnf transf... | 0 |
Everyone who is either not calm or wise is not old or curious and vice versa.
Everyone who is both not old and tall is both old and kind and vice versa.
If alice is not quiet or not funny then fred is either humble or patient.
If john is either not curious or not generous then someone is both brave and wise and vice ve... | John is not generous. | contradiction | (![X]:((~calm(X)<~>wise(X))<=>(~old(X)|curious(X))))&
(![X]:((~old(X)&tall(X))<=>(old(X)&kind(X))))&
(((~quiet(alice)|~funny(alice)))=>((humble(fred)<~>patient(fred))))&
(((~curious(john)<~>~generous(john)))<=>(?[X]:((brave(X)&wise(X)))))&
(![X]:((~quiet(X)<~>~happy(X))<=>patient(X)))&
((?[X]:((~funny(X)|~generous(X)))... | ~generous(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8113939486004136649731386
% SZS output start Proof for 8113939486004136649731386
21. generous(john) & ~kind(john) [input p20]
25. ~generous(john) [input hypothesis]
153. generous(john) [cnf transformation 21]
157. ~generous(john) [cnf transformation 25]
192. 7 <=> generous(john) [avatar d... | 0 |
Everyone who is kind is either kind or humble and vice versa.
Everyone who is both quiet and generous is either creative or not brave.
Everyone who is wise is not old or brave and vice versa.
Everyone who is either not quiet or not kind is not calm and vice versa.
If fred is both not humble and rich then someone is eit... | Paul is not humble. | entailment | (![X]:(kind(X)<=>(kind(X)<~>humble(X))))&
(![X]:((quiet(X)&generous(X))=>(creative(X)<~>~brave(X))))&
(![X]:(wise(X)<=>(~old(X)|brave(X))))&
(![X]:((~quiet(X)<~>~kind(X))<=>~calm(X)))&
(((~humble(fred)&rich(fred)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(((curious(lucy)<~>rich(lucy)))=>(?[X]:((~kind(X)|~wise(X)))))&
... | ~humble(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 797818720452600317148945
% SZS output start Proof for 797818720452600317148945
1. ! [X0] : (kind(X0) <=> (kind(X0) <~> humble(X0))) [input p0]
24. humble(paul) [input hypothesis]
35. ! [X0] : ((kind(X0) | ((kind(X0) | ~humble(X0)) & (humble(X0) | ~kind(X0)))) & (((~humble(X0) | ~kind(X0))... | 0 |
Everyone who is both not humble and not creative is not happy or not old and vice versa.
Everyone who is either not calm or not wise is not strong.
Everyone who is both not calm and strong is both not quiet and not rich.
If john is both not funny and not happy then someone is tall or not funny.
Everyone who is happy is... | Susan is not tall. | neutral | (![X]:((~humble(X)&~creative(X))<=>(~happy(X)|~old(X))))&
(![X]:((~calm(X)<~>~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&strong(X))=>(~quiet(X)&~rich(X))))&
(((~funny(john)&~happy(john)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(happy(X)=>(creative(X)&curious(X))))&
((funny(fred))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:... | ~tall(susan) | [] | null | 0 |
If someone is curious then someone is patient and vice versa. If alice is either tall or not tall then someone is kind or happy and vice versa. If paul is either not humble or not rich then someone is both not tall and not generous and vice versa. Everyone who is either not calm or brave is not tall. If someone is eith... | Lucy is calm. | neutral | ((?[X]:(curious(X)))<=>(?[X]:(patient(X))))&
(((tall(alice)<~>~tall(alice)))<=>(?[X]:((kind(X)|happy(X)))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((~calm(X)<~>brave(X))=>~tall(X)))&
((?[X]:((~calm(X)<~>~creative(X))))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((~patient(X)<~>funny(X... | calm(lucy) | [] | null | 0 |
Everyone who is not generous is both not humble and not patient and vice versa.
If someone is both not kind and humble then fred is either wise or rich and vice versa.
Everyone who is both not old and not generous is both strong and kind.
If someone is happy then lucy is kind and vice versa.
Everyone who is generous or... | Paul is not generous. | neutral | (![X]:(~generous(X)<=>(~humble(X)&~patient(X))))&
((?[X]:((~kind(X)&humble(X))))<=>((wise(fred)<~>rich(fred))))&
(![X]:((~old(X)&~generous(X))=>(strong(X)&kind(X))))&
((?[X]:(happy(X)))<=>(kind(lucy)))&
(![X]:((generous(X)|~creative(X))<=>(curious(X)&strong(X))))&
(![X]:((~strong(X)&quiet(X))=>(rich(X)&funny(X))))&
(![... | ~generous(paul) | [] | null | 0 |
If mary is both rich and wise then someone is both tall and not patient and vice versa.
If someone is calm then alice is not curious or strong and vice versa.
If alice is both not funny and patient then fred is creative.
If someone is either creative or not quiet then someone is either wise or not kind and vice versa.
... | Alice is not strong. | contradiction | (((rich(mary)&wise(mary)))<=>(?[X]:((tall(X)&~patient(X)))))&
((?[X]:(calm(X)))<=>((~curious(alice)|strong(alice))))&
(((~funny(alice)&patient(alice)))=>(creative(fred)))&
((?[X]:((creative(X)<~>~quiet(X))))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((strong(X)|curious(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((calm(X)&creati... | ~strong(alice) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4200048882192102546156739
% SZS output start Proof for 4200048882192102546156739
5. ! [X0] : ((curious(X0) | strong(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
16. ? [X0] : curious(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p15]
25. ~strong(alice) [input hypothesis]
29. ? [X0] : cur... | 0 |
Everyone who is both wise and funny is both strong and wise and vice versa. Everyone who is not rich is either not curious or quiet. If someone is calm then alice is both not calm and not quiet. Everyone who is not happy is not rich and vice versa. If mary is either strong or old then someone is not happy. If someone i... | Mary is not kind. | neutral | (![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~>old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(funny(X)))<=>((~brave(john)|quiet(john))))&
(![X]:((~brave(X)|~patient(X))<=>(~pa... | ~kind(mary) | [] | null | 0 |
Everyone who is humble or generous is either happy or not creative.
If susan is both not old and not rich then someone is both not humble and not strong and vice versa.
If fred is either not humble or patient then someone is either calm or brave and vice versa.
Everyone who is both not tall and funny is not humble or p... | Paul is rich. | contradiction | (![X]:((humble(X)|generous(X))=>(happy(X)<~>~creative(X))))&
(((~old(susan)&~rich(susan)))<=>(?[X]:((~humble(X)&~strong(X)))))&
(((~humble(fred)<~>patient(fred)))<=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:((~tall(X)&funny(X))<=>(~humble(X)|patient(X))))&
(![X]:((~kind(X)&patient(X))<=>(~kind(X)|~happy(X))))&
(![X]:(~tall... | rich(paul) | [
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2914120935386738501649246
% SZS output start Proof for 2914120935386738501649246
5. ! [X0] : ((patient(X0) & ~kind(X0)) <=> (~happy(X0) | ~kind(X0))) [input p4]
7. ! [X0] : (~rich(X0) <=> (happy(X0) | old(X0))) [input p6]
15. ! [X0] : ((humble(X0) | ~old(X0)) => ~patient(X0)) [input p14]
... | 0 |
Everyone who is both patient and not curious is not creative.
If someone is tall or not old then paul is both brave and not tall and vice versa.
Everyone who is either not wise or creative is both funny and not calm.
If susan is both not humble and not funny then someone is either brave or not generous.
Everyone who is... | Susan is not patient. | entailment | (![X]:((patient(X)&~curious(X))=>~creative(X)))&
((?[X]:((tall(X)|~old(X))))<=>((brave(paul)&~tall(paul))))&
(![X]:((~wise(X)<~>creative(X))=>(funny(X)&~calm(X))))&
(((~humble(susan)&~funny(susan)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((quiet(X)|brave(X))=>(wise(X)<~>patient(X))))&
((~wise(paul))=>((tall(alice)... | ~patient(susan) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p9",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1923680143406185467664779
% SZS output start Proof for 1923680143406185467664779
1. ! [X0] : ((~curious(X0) & patient(X0)) => ~creative(X0)) [input p0]
2. ? [X0] : (~old(X0) | tall(X0)) <=> (~tall(paul) & brave(paul)) [input p1]
3. ! [X0] : ((~wise(X0) <~> creative(X0)) => (~calm(X0) & fu... | 0 |
If someone is both strong and not creative then fred is both creative and wise.
Everyone who is curious is not tall or not rich and vice versa.
Everyone who is quiet or not strong is both not patient and not creative.
Everyone who is both rich and not creative is both not happy and not quiet.
If someone is both brave a... | Mary is not creative. | entailment | ((?[X]:((strong(X)&~creative(X))))=>((creative(fred)&wise(fred))))&
(![X]:(curious(X)<=>(~tall(X)|~rich(X))))&
(![X]:((quiet(X)|~strong(X))=>(~patient(X)&~creative(X))))&
(![X]:((rich(X)&~creative(X))=>(~happy(X)&~quiet(X))))&
((?[X]:((brave(X)&happy(X))))<=>(?[X]:((~brave(X)&~rich(X)))))&
(![X]:((~wise(X)|funny(X))=>(... | ~creative(mary) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6068760549523989124903604
% SZS output start Proof for 6068760549523989124903604
3. ! [X0] : ((~strong(X0) | quiet(X0)) => (~creative(X0) & ~patient(X0))) [input p2]
9. ! [X0] : ((brave(X0) | ~quiet(X0)) => (~creative(X0) & calm(X0))) [input p8]
24. creative(mary) [input hypothesis]
30. !... | 0 |
If someone is both not humble and not curious then someone is both curious and happy.
If someone is both strong and generous then someone is either brave or happy and vice versa.
If someone is not happy then susan is both not wise and curious.
Everyone who is kind is both not calm and calm and vice versa.
Everyone who ... | Lucy is not calm. | neutral | ((?[X]:((~humble(X)&~curious(X))))=>(?[X]:((curious(X)&happy(X)))))&
((?[X]:((strong(X)&generous(X))))<=>(?[X]:((brave(X)<~>happy(X)))))&
((?[X]:(~happy(X)))=>((~wise(susan)&curious(susan))))&
(![X]:(kind(X)<=>(~calm(X)&calm(X))))&
(![X]:((tall(X)&brave(X))<=>(wise(X)&~tall(X))))&
(![X]:(creative(X)<=>(~calm(X)|wise(X)... | ~calm(lucy) | [] | null | 0 |
Everyone who is both not old and not curious is either rich or not happy and vice versa.
Everyone who is either patient or not old is patient and vice versa.
If susan is not calm then someone is not old and vice versa.
Everyone who is both not curious and rich is not quiet.
If paul is funny or calm then mary is both no... | John is brave. | contradiction | (![X]:((~old(X)&~curious(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~old(X))<=>patient(X)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~generous(mary)&tall(mary))))&
((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:(~creative(X))))&
((kind(john... | brave(john) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6467285720145573546607445
% SZS output start Proof for 6467285720145573546607445
15. ? [X0] : brave(X0) <=> (~curious(paul) <~> ~quiet(paul)) [input p14]
19. quiet(paul) <~> ~curious(paul) [input p18]
22. brave(john) [input hypothesis]
61. (? [X0] : brave(X0) | ((~curious(paul) | quiet(pa... | 0 |
If susan is either humble or not curious then lucy is not rich or old and vice versa.
If someone is not brave or not humble then someone is not creative or rich and vice versa.
Everyone who is either not patient or humble is either old or curious and vice versa.
If john is both not brave and not funny then alice is eit... | Susan is not wise. | contradiction | (((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funny(john)))<=>((funny(alice)<~>patient(alice))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((~strong(X)|calm(X)... | ~wise(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1974743911365613093208578
% SZS output start Proof for 1974743911365613093208578
8. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p7]
21. ~wise(susan) [input hypothesis]
45. ! [X0] : (((~wise(X0) | happy(X0)) | (brave(X0) | ~brave(X0))) & ((~brave(X0) & brave(X0))... | 0 |
Everyone who is either not funny or quiet is both not brave and not funny.
If someone is not patient or not old then someone is not old and vice versa.
Everyone who is not old is brave.
If someone is both wise and not happy then john is either humble or quiet.
Everyone who is strong or wise is both not curious and rich... | Lucy is patient. | neutral | (![X]:((~funny(X)<~>quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:(~old(X))))&
(![X]:(~old(X)=>brave(X)))&
((?[X]:((wise(X)&~happy(X))))=>((humble(john)<~>quiet(john))))&
(![X]:((strong(X)|wise(X))=>(~curious(X)&rich(X))))&
(![X]:(~curious(X)=>(~happy(X)<~>~rich(X))))&
(![X]:((creative(X)<... | patient(lucy) | [] | null | 0 |
Everyone who is not quiet or generous is either strong or not humble. Everyone who is both old and brave is funny or brave. Everyone who is not wise or quiet is both not tall and not patient. Everyone who is either kind or not kind is funny and vice versa. If john is generous or not brave then someone is not brave and ... | John is not creative. | entailment | (![X]:((~quiet(X)|generous(X))=>(strong(X)<~>~humble(X))))&
(![X]:((old(X)&brave(X))=>(funny(X)|brave(X))))&
(![X]:((~wise(X)|quiet(X))=>(~tall(X)&~patient(X))))&
(![X]:((kind(X)<~>~kind(X))<=>funny(X)))&
(((generous(john)|~brave(john)))<=>(?[X]:(~brave(X))))&
(![X]:(wise(X)=>(~funny(X)&curious(X))))&
(![X]:((~wise(X)<... | ~creative(john) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5226273394300146600211918
% SZS output start Proof for 5226273394300146600211918
4. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> funny(X0)) [input p3]
6. ! [X0] : (wise(X0) => (curious(X0) & ~funny(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~kind(X0)) => (wise(X0) & funny(X0))) [input p7]
22... | 0 |
Everyone who is brave is either not wise or not kind and vice versa. If someone is not brave or funny then someone is not brave. If mary is not strong or strong then john is calm or generous. Everyone who is both not happy and tall is either not humble or not old. If mary is not rich then someone is both not happy and ... | Lucy is humble. | entailment | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
((?[X]:((~brave(X)|funny(X))))=>(?[X]:(~brave(X))))&
(((~strong(mary)|strong(mary)))=>((calm(john)|generous(john))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quie... | humble(lucy) | [
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1701857695690504564674912
% SZS output start Proof for 1701857695690504564674912
15. ! [X0] : ((quiet(X0) | kind(X0)) <=> (patient(X0) & strong(X0))) [input p14]
22. quiet(lucy) <~> humble(lucy) [input p21]
23. humble(lucy) | ~patient(lucy) [input p22]
24. ~humble(lucy) [input hypothesis]... | 0 |
If someone is creative then alice is either calm or not happy and vice versa. Everyone who is both calm and rich is either not wise or not brave and vice versa. Everyone who is either humble or not brave is both not curious and not creative and vice versa. If someone is either not tall or not curious then john is not o... | Paul is not kind. | neutral | ((?[X]:(creative(X)))<=>((calm(alice)<~>~happy(alice))))&
(![X]:((calm(X)&rich(X))<=>(~wise(X)<~>~brave(X))))&
(![X]:((humble(X)<~>~brave(X))<=>(~curious(X)&~creative(X))))&
((?[X]:((~tall(X)<~>~curious(X))))<=>((~old(john)|rich(john))))&
(![X]:((quiet(X)<~>funny(X))=>(funny(X)|strong(X))))&
(![X]:((curious(X)&~strong(... | ~kind(paul) | [] | null | 0 |
Everyone who is not creative or not brave is both creative and old.
Everyone who is calm or not creative is not generous and vice versa.
Everyone who is either calm or happy is both not curious and old and vice versa.
Everyone who is either not strong or creative is either creative or tall and vice versa.
If someone is... | John is funny. | neutral | (![X]:((~creative(X)|~brave(X))=>(creative(X)&old(X))))&
(![X]:((calm(X)|~creative(X))<=>~generous(X)))&
(![X]:((calm(X)<~>happy(X))<=>(~curious(X)&old(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(wise(john)))&
(![X]:((~wise(X)|calm(X))<=>(brave(X)<~>funny(X)))... | funny(john) | [] | null | 0 |
If someone is old or curious then someone is both patient and calm.
If alice is both not curious and wise then fred is not strong and vice versa.
If fred is quiet or patient then someone is not curious or old.
If alice is not curious then someone is both tall and not strong.
Everyone who is both not tall and old is bot... | Paul is not brave. | neutral | ((?[X]:((old(X)|curious(X))))=>(?[X]:((patient(X)&calm(X)))))&
(((~curious(alice)&wise(alice)))<=>(~strong(fred)))&
(((quiet(fred)|patient(fred)))=>(?[X]:((~curious(X)|old(X)))))&
((~curious(alice))=>(?[X]:((tall(X)&~strong(X)))))&
(![X]:((~tall(X)&old(X))<=>(~kind(X)&curious(X))))&
(![X]:((strong(X)&curious(X))<=>(~ri... | ~brave(paul) | [] | null | 0 |
If someone is patient or not kind then someone is old.
If susan is both rich and not old then someone is both happy and creative.
Everyone who is not brave or not humble is both tall and not wise.
Everyone who is humble or not humble is creative or not happy and vice versa.
If someone is funny then someone is either ri... | John is old. | neutral | ((?[X]:((patient(X)|~kind(X))))=>(?[X]:(old(X))))&
(((rich(susan)&~old(susan)))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)&~wise(X))))&
(![X]:((humble(X)|~humble(X))<=>(creative(X)|~happy(X))))&
((?[X]:(funny(X)))=>(?[X]:((rich(X)<~>~rich(X)))))&
(![X]:((strong(X)<~>~curious(X))=>(creati... | old(john) | [] | null | 0 |
If someone is kind or quiet then someone is happy.
Everyone who is both not tall and not generous is either curious or not curious and vice versa.
If susan is tall then someone is humble.
Everyone who is not strong is tall or not strong.
Everyone who is not patient is funny or quiet.
Everyone who is old or not happy is... | Mary is rich. | neutral | ((?[X]:((kind(X)|quiet(X))))=>(?[X]:(happy(X))))&
(![X]:((~tall(X)&~generous(X))<=>(curious(X)<~>~curious(X))))&
((tall(susan))=>(?[X]:(humble(X))))&
(![X]:(~strong(X)=>(tall(X)|~strong(X))))&
(![X]:(~patient(X)=>(funny(X)|quiet(X))))&
(![X]:((old(X)|~happy(X))=>(creative(X)|calm(X))))&
((?[X]:((~brave(X)<~>quiet(X))))... | rich(mary) | [] | null | 0 |
If someone is old or not rich then someone is not patient and vice versa. Everyone who is both not generous and tall is both not funny and humble and vice versa. Everyone who is either not old or patient is not generous and vice versa. Everyone who is both not brave and not patient is either not patient or not wise and... | Paul is calm. | neutral | ((?[X]:((old(X)|~rich(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)&tall(X))<=>(~funny(X)&humble(X))))&
(![X]:((~old(X)<~>patient(X))<=>~generous(X)))&
(![X]:((~brave(X)&~patient(X))<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~happy(X))))&
(![X]:((~funny(X)<~>happy(X))<=>(generous(X)|ri... | calm(paul) | [] | null | 0 |
Everyone who is either not quiet or kind is both creative and funny.
If lucy is both not generous and patient then someone is kind or not old.
If lucy is creative or not quiet then someone is wise or brave.
Everyone who is either not humble or rich is not generous or not funny.
If susan is calm then someone is either n... | Paul is calm. | entailment | (![X]:((~quiet(X)<~>kind(X))=>(creative(X)&funny(X))))&
(((~generous(lucy)&patient(lucy)))=>(?[X]:((kind(X)|~old(X)))))&
(((creative(lucy)|~quiet(lucy)))=>(?[X]:((wise(X)|brave(X)))))&
(![X]:((~humble(X)<~>rich(X))=>(~generous(X)|~funny(X))))&
((calm(susan))=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((happy(X)&wise(X... | calm(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7497727590349227656594655
% SZS output start Proof for 7497727590349227656594655
24. strong(paul) & calm(paul) [input p23]
25. ~calm(paul) [input hypothesis]
134. calm(paul) [cnf transformation 24]
136. ~calm(paul) [cnf transformation 25]
324. $false [subsumption resolution 136,134]
% SZS... | 0 |
Everyone who is either not curious or not creative is old or curious.
If someone is either strong or not quiet then alice is both creative and not patient and vice versa.
Everyone who is creative is generous.
If fred is either not kind or strong then someone is either happy or old and vice versa.
Everyone who is kind o... | Susan is strong. | neutral | (![X]:((~curious(X)<~>~creative(X))=>(old(X)|curious(X))))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((creative(alice)&~patient(alice))))&
(![X]:(creative(X)=>generous(X)))&
(((~kind(fred)<~>strong(fred)))<=>(?[X]:((happy(X)<~>old(X)))))&
(![X]:((kind(X)|humble(X))<=>(curious(X)<~>strong(X))))&
(![X]:((~creative(X)<~>funny(... | strong(susan) | [] | null | 0 |
Everyone who is either not calm or not curious is either funny or creative and vice versa.
If lucy is kind or not generous then someone is both wise and not brave and vice versa.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and not old and vice versa.
If m... | Alice is not strong. | contradiction | (![X]:((~calm(X)<~>~curious(X))<=>(funny(X)<~>creative(X))))&
(((kind(lucy)|~generous(lucy)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|... | ~strong(alice) | [
"p2",
"p6",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9189583969832499308612483
% SZS output start Proof for 9189583969832499308612483
3. ! [X0] : (~curious(X0) <=> funny(X0)) [input p2]
7. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p6]
13. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> (~patient(X0) | curious(X0))) [input p12]
... | 0 |
If someone is quiet then fred is either creative or generous. Everyone who is not kind or not old is wise and vice versa. Everyone who is kind is funny or not rich. If paul is not funny or calm then paul is not generous or humble and vice versa. Everyone who is both happy and not curious is not happy or curious. Everyo... | Fred is wise. | neutral | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>wise(X)))&
(![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((pat... | wise(fred) | [] | null | 0 |
Everyone who is funny is either not wise or calm and vice versa.
Everyone who is both happy and brave is either not brave or not curious and vice versa.
If susan is either not generous or not rich then alice is both not kind and humble and vice versa.
If someone is either creative or not patient then john is generous a... | Alice is brave. | entailment | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~brave(X)<~>~curious(X))))&
(((~generous(susan)<~>~rich(susan)))<=>((~kind(alice)&humble(alice))))&
((?[X]:((creative(X)<~>~patient(X))))<=>(generous(john)))&
((?[X]:(~quiet(X)))<=>((quiet(paul)&~rich(paul))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&... | brave(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5961892176560407980450497
% SZS output start Proof for 5961892176560407980450497
9. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p8]
25. ~brave(alice) [input hypothesis]
66. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient(... | 0 |
If someone is both creative and generous then someone is not kind or not creative.
Everyone who is not old or not strong is both kind and old and vice versa.
Everyone who is quiet or not curious is both brave and not wise.
Everyone who is both happy and kind is calm and vice versa.
Everyone who is not generous or calm ... | Alice is not generous. | contradiction | ((?[X]:((creative(X)&generous(X))))=>(?[X]:((~kind(X)|~creative(X)))))&
(![X]:((~old(X)|~strong(X))<=>(kind(X)&old(X))))&
(![X]:((quiet(X)|~curious(X))=>(brave(X)&~wise(X))))&
(![X]:((happy(X)&kind(X))<=>calm(X)))&
(![X]:((~generous(X)|calm(X))<=>(~happy(X)<~>~old(X))))&
(![X]:((happy(X)&~kind(X))=>(humble(X)&~calm(X))... | ~generous(alice) | [
"p1",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4386282711082501853716136
% SZS output start Proof for 4386282711082501853716136
2. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (old(X0) & kind(X0))) [input p1]
5. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (~happy(X0) <~> ~old(X0))) [input p4]
19. ~calm(alice) & happy(alice) [input p18]
23. ~ge... | 0 |
If someone is either old or not brave then someone is both tall and rich and vice versa.
If someone is either wise or not strong then paul is both happy and not curious.
If someone is happy then someone is patient or happy.
If someone is both old and creative then someone is both kind and not generous and vice versa.
I... | Lucy is not funny. | contradiction | ((?[X]:((old(X)<~>~brave(X))))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((wise(X)<~>~strong(X))))=>((happy(paul)&~curious(paul))))&
((?[X]:(happy(X)))=>(?[X]:((patient(X)|happy(X)))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((kind(X)&~generous(X)))))&
((?[X]:((~humble(X)<~>curious(X))))=>(rich(susan)))&
((~calm(mary))<=>(... | ~funny(lucy) | [
"p1",
"p8",
"p10",
"p14",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1012832541534290596709467
% SZS output start Proof for 1012832541534290596709467
2. ? [X0] : (wise(X0) <~> ~strong(X0)) => (~curious(paul) & happy(paul)) [input p1]
9. ! [X0] : ((~wise(X0) <~> funny(X0)) <=> (rich(X0) | happy(X0))) [input p8]
11. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> (... | 0 |
If someone is curious then someone is not curious and vice versa.
If someone is either not patient or not brave then someone is either not funny or old and vice versa.
Everyone who is both not calm and humble is calm or not brave and vice versa.
If someone is either old or tall then someone is both not creative and bra... | John is kind. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((~patient(X)<~>~brave(X))))<=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)|~brave(X))))&
((?[X]:((old(X)<~>tall(X))))=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((wise(X)|tall(X))=>(~generous(X)&~humble(X))))&
((~generous(lucy))<=>(?[X]:((hu... | kind(john) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2238777355607420785563599
% SZS output start Proof for 2238777355607420785563599
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (~brave(X0) | calm(X0))) [input p2]
15. (kind(john) | old(john)) <=> ? [X0] : calm(X0) [input p14]
24. kind(john) [input hypothesis]
50. ! [X0] : (((humble(X0) & ~cal... | 0 |
Everyone who is strong is either not humble or not quiet.
Everyone who is both quiet and not humble is kind and vice versa.
Everyone who is either not funny or not creative is both not generous and tall and vice versa.
If mary is curious then someone is quiet and vice versa.
Everyone who is not rich is not humble and v... | Susan is not generous. | neutral | (![X]:(strong(X)=>(~humble(X)<~>~quiet(X))))&
(![X]:((quiet(X)&~humble(X))<=>kind(X)))&
(![X]:((~funny(X)<~>~creative(X))<=>(~generous(X)&tall(X))))&
((curious(mary))<=>(?[X]:(quiet(X))))&
(![X]:(~rich(X)<=>~humble(X)))&
((patient(john))=>((brave(lucy)<~>~rich(lucy))))&
(![X]:((patient(X)&wise(X))<=>(patient(X)|~patien... | ~generous(susan) | [] | null | 0 |
Everyone who is happy or brave is tall or not creative and vice versa.
Everyone who is either not patient or funny is tall or generous.
If someone is either not creative or not quiet then someone is both generous and not brave.
If paul is either calm or tall then someone is not happy or old.
Everyone who is either curi... | John is not calm. | entailment | (![X]:((happy(X)|brave(X))<=>(tall(X)|~creative(X))))&
(![X]:((~patient(X)<~>funny(X))=>(tall(X)|generous(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((generous(X)&~brave(X)))))&
(((calm(paul)<~>tall(paul)))=>(?[X]:((~happy(X)|old(X)))))&
(![X]:((curious(X)<~>humble(X))<=>(~calm(X)&~funny(X))))&
(![X]:((~kind(X)... | ~calm(john) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7875960783566261374589635
% SZS output start Proof for 7875960783566261374589635
5. ! [X0] : ((curious(X0) <~> humble(X0)) <=> (~funny(X0) & ~calm(X0))) [input p4]
7. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~happy(X0) | creative(X0))) [input p6]
11. ! [X0] : ((strong(X0) & ~patient(X0)) <=>... | 0 |
Everyone who is not humble or not brave is not wise or patient and vice versa.
Everyone who is tall is both rich and creative.
Everyone who is not rich or creative is both curious and not calm.
If paul is brave then someone is happy or not generous.
If someone is not tall then someone is either quiet or not calm.
If pa... | Fred is humble. | contradiction | (![X]:((~humble(X)|~brave(X))<=>(~wise(X)|patient(X))))&
(![X]:(tall(X)=>(rich(X)&creative(X))))&
(![X]:((~rich(X)|creative(X))=>(curious(X)&~calm(X))))&
((brave(paul))=>(?[X]:((happy(X)|~generous(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)<~>~calm(X)))))&
(((curious(paul)<~>~brave(paul)))<=>((rich(lucy)<~>~quiet(lucy... | humble(fred) | [
"p2",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 19143516303203230976535
% SZS output start Proof for 19143516303203230976535
3. ! [X0] : ((creative(X0) | ~rich(X0)) => (~calm(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~rich(X0) | happy(X0)) <=> (generous(X0) & ~humble(X0))) [input p8]
10. ! [X0] : (~happy(X0) <=> (patient(X0) & ~wise... | 0 |
Everyone who is calm or not old is kind or brave.
Everyone who is both not strong and brave is either not creative or not patient and vice versa.
If someone is creative or curious then alice is both quiet and not strong and vice versa.
Everyone who is both not calm and happy is old or not patient and vice versa.
Everyo... | Lucy is patient. | neutral | (![X]:((calm(X)|~old(X))=>(kind(X)|brave(X))))&
(![X]:((~strong(X)&brave(X))<=>(~creative(X)<~>~patient(X))))&
((?[X]:((creative(X)|curious(X))))<=>((quiet(alice)&~strong(alice))))&
(![X]:((~calm(X)&happy(X))<=>(old(X)|~patient(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:((~rich(X)|r... | patient(lucy) | [] | null | 0 |
Everyone who is not patient is either creative or not curious.
Everyone who is both not happy and not patient is either quiet or happy.
Everyone who is not creative is both not generous and not wise and vice versa.
If someone is both not curious and funny then lucy is not quiet and vice versa.
Everyone who is curious i... | Mary is not kind. | neutral | (![X]:(~patient(X)=>(creative(X)<~>~curious(X))))&
(![X]:((~happy(X)&~patient(X))=>(quiet(X)<~>happy(X))))&
(![X]:(~creative(X)<=>(~generous(X)&~wise(X))))&
((?[X]:((~curious(X)&funny(X))))<=>(~quiet(lucy)))&
(![X]:(curious(X)<=>(generous(X)|~quiet(X))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&... | ~kind(mary) | [] | null | 0 |
Everyone who is not humble is humble or happy.
Everyone who is both creative and not kind is both strong and not calm and vice versa.
Everyone who is strong is patient or calm.
If susan is both not old and not rich then mary is both not wise and not happy and vice versa.
If someone is not happy or not humble then someo... | John is kind. | entailment | (![X]:(~humble(X)=>(humble(X)|happy(X))))&
(![X]:((creative(X)&~kind(X))<=>(strong(X)&~calm(X))))&
(![X]:(strong(X)=>(patient(X)|calm(X))))&
(((~old(susan)&~rich(susan)))<=>((~wise(mary)&~happy(mary))))&
((?[X]:((~happy(X)|~humble(X))))<=>(?[X]:((calm(X)|~humble(X)))))&
(![X]:((~patient(X)|calm(X))=>(wise(X)&creative(X... | kind(john) | [
"p1",
"p5",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6920771965652146994595
% SZS output start Proof for 6920771965652146994595
2. ! [X0] : ((~kind(X0) & creative(X0)) <=> (~calm(X0) & strong(X0))) [input p1]
6. ! [X0] : ((calm(X0) | ~patient(X0)) => (creative(X0) & wise(X0))) [input p5]
7. ! [X0] : (~calm(X0) => (~rich(X0) & generous(X0)))... | 0 |
If someone is kind then lucy is not old and vice versa.
If someone is both wise and kind then someone is both old and not rich and vice versa.
Everyone who is both creative and not curious is not strong or wise.
If lucy is either not humble or not tall then john is either not creative or not rich and vice versa.
Everyo... | Fred is curious. | entailment | ((?[X]:(kind(X)))<=>(~old(lucy)))&
((?[X]:((wise(X)&kind(X))))<=>(?[X]:((old(X)&~rich(X)))))&
(![X]:((creative(X)&~curious(X))=>(~strong(X)|wise(X))))&
(((~humble(lucy)<~>~tall(lucy)))<=>((~creative(john)<~>~rich(john))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)<~>patient(X))))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:... | curious(fred) | [
"p8",
"p10",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1483762946380957315318181
% SZS output start Proof for 1483762946380957315318181
9. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (wise(X0) | ~creative(X0))) [input p8]
11. ! [X0] : ((kind(X0) | quiet(X0)) => generous(X0)) [input p10]
12. ! [X0] : ((~calm(X0) | ~wise(X0)) => ~quiet(X0)) [inp... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either humble or not curious and vice versa.
If alice is either funny or not patient then lucy is rich and vice versa.
Everyone who is either creative or not curious is kind.
If someone is either creativ... | Mary is creative. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((humble(paul)<~>~curious(paul))))&
(((funny(alice)<~>~patient(alice)))<=>(rich(lucy)))&
(![X]:((creative(X)<~>~curious(X))=>kind(X)))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(... | creative(mary) | [
"p0",
"p4",
"p7",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 299744695652001325923463
% SZS output start Proof for 299744695652001325923463
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
5. ? [X0] : (creative(X0) <~> calm(X0)) <=> (~funny(john) & patient(john)) [input p4]
8. ! [X0] : (~quiet(X0) <=> (patient(X0) | ~cu... | 0 |
If lucy is not rich then someone is both quiet and generous and vice versa. If fred is either tall or not wise then alice is both old and not generous and vice versa. Everyone who is not patient is not creative. Everyone who is either not quiet or quiet is generous and vice versa. If someone is either not wise or happy... | Fred is not curious. | contradiction | ((~rich(lucy))<=>(?[X]:((quiet(X)&generous(X)))))&
(((tall(fred)<~>~wise(fred)))<=>((old(alice)&~generous(alice))))&
(![X]:(~patient(X)=>~creative(X)))&
(![X]:((~quiet(X)<~>quiet(X))<=>generous(X)))&
((?[X]:((~wise(X)<~>happy(X))))=>((~curious(fred)|old(fred))))&
((?[X]:(~happy(X)))=>(?[X]:(strong(X))))&
(![X]:((quiet(... | ~curious(fred) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9066198627986126663945854
% SZS output start Proof for 9066198627986126663945854
11. ~curious(fred) => (~quiet(paul) & ~wise(paul)) [input p10]
21. wise(paul) & ~patient(paul) [input p20]
25. ~curious(fred) [input hypothesis]
36. (~quiet(paul) & ~wise(paul)) | curious(fred) [ennf transfor... | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Mary is rich. | contradiction | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | rich(mary) | [
"p0",
"p1",
"p2",
"p8",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7890532133196430497818876
% SZS output start Proof for 7890532133196430497818876
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | kind(X0)) <=> ~strong(X0)) [inpu... | 0 |
Everyone who is calm or not generous is both quiet and brave and vice versa. If someone is either not generous or calm then mary is generous. Everyone who is not humble or not kind is funny. If fred is either tall or not patient then alice is both not happy and strong. If someone is both not generous and not old then s... | Fred is tall. | neutral | (![X]:((calm(X)|~generous(X))<=>(quiet(X)&brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))=>(generous(mary)))&
(![X]:((~humble(X)|~kind(X))=>funny(X)))&
(((tall(fred)<~>~patient(fred)))=>((~happy(alice)&strong(alice))))&
((?[X]:((~generous(X)&~old(X))))<=>(?[X]:((~brave(X)<~>brave(X)))))&
((?[X]:((patient(X)&tall(X))))<... | tall(fred) | [] | null | 0 |
If lucy is either not old or wise then susan is generous. Everyone who is either not creative or not curious is calm and vice versa. If someone is tall or not old then paul is both not happy and not patient. Everyone who is both funny and curious is either not happy or creative and vice versa. Everyone who is both kind... | Paul is not happy. | entailment | (((~old(lucy)<~>wise(lucy)))=>(generous(susan)))&
(![X]:((~creative(X)<~>~curious(X))<=>calm(X)))&
((?[X]:((tall(X)|~old(X))))=>((~happy(paul)&~patient(paul))))&
(![X]:((funny(X)&curious(X))<=>(~happy(X)<~>creative(X))))&
(![X]:((kind(X)&~happy(X))<=>(rich(X)<~>~creative(X))))&
((?[X]:((~happy(X)|~creative(X))))=>((~ol... | ~happy(paul) | [
"p1",
"p2",
"p3",
"p6",
"p10",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3597430228050107919515635
% SZS output start Proof for 3597430228050107919515635
2. ! [X0] : ((~creative(X0) <~> ~curious(X0)) <=> calm(X0)) [input p1]
3. ? [X0] : (~old(X0) | tall(X0)) => (~patient(paul) & ~happy(paul)) [input p2]
4. ! [X0] : ((curious(X0) & funny(X0)) <=> (~happy(X0) <~... | 0 |
Everyone who is either patient or brave is either funny or tall and vice versa.
Everyone who is both patient and strong is both not brave and rich.
If lucy is quiet then someone is not strong and vice versa.
Everyone who is funny or kind is not patient or not quiet and vice versa.
If someone is either humble or rich th... | John is not generous. | neutral | (![X]:((patient(X)<~>brave(X))<=>(funny(X)<~>tall(X))))&
(![X]:((patient(X)&strong(X))=>(~brave(X)&rich(X))))&
((quiet(lucy))<=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|kind(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:((humble(X)<~>rich(X))))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:(~calm(X)<=>~tall(X)))&
((?[X]:((patient(X)... | ~generous(john) | [] | null | 0 |
Everyone who is either not tall or funny is rich or curious and vice versa.
Everyone who is both not calm and not generous is both not kind and not tall.
If someone is not generous then someone is calm or rich and vice versa.
Everyone who is either not wise or not patient is either not wise or not calm and vice versa.
... | Alice is tall. | entailment | (![X]:((~tall(X)<~>funny(X))<=>(rich(X)|curious(X))))&
(![X]:((~calm(X)&~generous(X))=>(~kind(X)&~tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~wise(X)<~>~calm(X))))&
(![X]:((happy(X)|~strong(X))<=>(~tall(X)|~happy(X))))&
(![X]:((~old(X)&~patient(X))=>(creative(X)... | tall(alice) | [
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3965711501142324810453695
% SZS output start Proof for 3965711501142324810453695
4. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (~wise(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : (creative(X0) => ~curious(X0)) [input p7]
9. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (wise(X0) | ~wise(X0))) [in... | 0 |
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